Electrode and core arrangements for polarization-independent waveguides

ABSTRACT

The present invention provides for polarization independence in electrooptic waveguides. Specifically, in accordance with one embodiment of the present invention, an electrooptic waveguide for an optical signal is provided. The waveguide comprises a plurality of control electrodes, an optical waveguide core defining a primary axis of propagation, and an electrooptic cladding at least partially surrounding the core. The control electrodes are positioned to generate a contoured electric field across the cladding. The cladding is poled along a poling contour. The contoured electric field and/or the poling contour are asymmetric relative to a plane intersecting the waveguide core and extending along the primary axis of propagation. The electrooptic cladding defines at least two cladding regions on opposite sides of the waveguide core. The contoured electric field comprises (i) a vertical electric field component within a first one of said pair cladding regions that is larger than a vertical component in a second one of the cladding regions and (ii) a horizontal electric field component within the first cladding region that is smaller than a horizontal component in the second cladding region.

CROSS-REFERENCE TO RELATED APPLICATIONS AND INCORPORATION BY REFERENCE

[0001] This application is related to the following U.S. patentapplications: Ser. No. ______ (BAT 0036 IA) filed Mar. ______, 2002,Ser. No. 09/916,238 (BAT 0036 PA), filed Jul. 26, 2001, and Ser. No.09/777,439, filed Feb. 6, 2001, the disclosures of which areincorporated herein by reference.

BACKGROUND OF THE INVENTION

[0002] The present invention relates to optical signal transmission and,more specifically, to improved electrode and core arrangements foroptical waveguides useful in applications requiring modulation andswitching of optical signals.

[0003] It is becoming increasingly important to frequently upgradetelecommunication networks to increase their capacity due to the recentrapid increase in network traffic caused by multimedia communications.Although optical technologies are replacing most transmission lines, thenodes of optical networks, such as switching and cross-connect nodes,still depend on relatively slow electrical technologies. Fore example,time-division multiplexing (TDM) systems are widely used in existingoptical communications systems and are inherently dependent onelectrical circuits for multiplexing and demultiplexing. As a result,the electrical nodes in these types of optical networks limitthroughput.

[0004] There has been a recent shift in the industry towards an emphasison accelerating returns on existing and upgraded networks. Companiestrying to pioneer the integrated optics market, however, have runhead-on into the challenge of cost-effectively integrating opticalcomponents and microelectronic technology into a single device.Accordingly, there is a need in the art for innovation in integratedcomponent design for optical switching, modulating, attenuating,multiplexing and demultiplexing devices.

BRIEF SUMMARY OF THE INVENTION

[0005] The above-noted patent application, U.S. patent application Ser.No. 09/992,552, describes in detail a number of optical waveguidesdesigned for polarization-independent operation. One of the illustratedembodiments is directed to providing polarization independence byarranging the control electrodes and waveguide core such thatappropriate poling orientations are provided in each cladding region.The waveguide achieves polarization independence by optimizing phaseshifting of one dominant polarization (TE) in the first cladding regionand the other dominant polarization (TM) in the second cladding region.The present invention employs similar means for providing polarizationindependence and presents further polarization-independent waveguideconfigurations. The present invention also relates to improvedintegrated optical devices employing the polarization-independentwaveguide configurations of the present invention. Suitable waveguidedevices are known in the art and are disclosed in the above-noted patentapplication (Ser. No. 09/992,552).

[0006] Referring briefly to FIGS. 1 and 2, an electrooptic waveguide 10is illustrated including first and second control electrodes 20, 22, andan optical waveguide core 30. An intersecting plane 32 normal to thesurface of the waveguide core 30 and extending along the primary axis ofpropagation defined by the waveguide core 30 is also illustrated. Forthe purposes of describing and defining the present invention, it isnoted that TE and TM polarized light represent two independentelectromagnetic modes of an optical signal. The electromagnetic fielddistribution is referred to as the transverse electric (TE) mode wherethe electric field of the optical signal is perpendicular to theintersecting plane 32. The electromagnetic field distribution isreferred to as the transverse magnetic (TM) mode where the magneticfield of the optical signal is perpendicular to the intersecting plane32. It is also noted that in a channel waveguide of the illustratedtype, the propagating modes are not purely TE or TM polarized. Rather,the modes are typically more predominantly one or the other and arecommonly so designated. Accordingly, a TE polarized mode may merelycomprise a distribution where the electric field component parallel tothe plane of propagation is the largest component of the signal.Similarly, a TM polarized mode may merely comprise a distribution wherethe magnetic field component parallel to the plane of propagation is thelargest component of the signal.

[0007] Specifically, in accordance with one embodiment of the presentinvention, an electrooptic waveguide for an optical signal is provided.The waveguide comprises a plurality of control electrodes, an opticalwaveguide core, and electrooptic cladding regions optically coupled tothe optical waveguide core. The control electrodes are positioned togenerate a contoured electric field across the cladding. The cladding ispoled along a poling contour. The cladding defines an array of local TMindices of refraction n_(TM) corresponding to the indices of refractionfor the vertically oriented component TM of the optical signal in thecladding. The cladding also defines an array of local TE indices ofrefraction n_(TE) corresponding to the indices of refraction for thehorizontally oriented component TE of the optical signal in thecladding. The local TM indices n_(TM) and the local TE indices n_(TE)are each a function of a first electrooptic coefficient r_(PP) for lightparallel to a local component of the contoured electric field and asecond electrooptic coefficient r_(1P) for light perpendicular to alocal component of the contoured electric field. The difference betweenthe first and second electrooptic coefficients r_(PP) and r_(1P) definesan optical birefringence of an electrooptic cladding material definingthe cladding. The local TM indices n_(TM) collectively define a TM modeindex of the waveguide. The local TE indices n_(TE) collectively definea TE mode index of the waveguide. The respective orientations of thecontoured electric field and the poling contour are configured tocompensate for the optical birefringence of the electrooptic claddingmaterial such that the TM mode index of the waveguide is substantiallyequal to the TE mode index of the waveguide.

[0008] In accordance with another embodiment of the present invention,an electrooptic waveguide for an optical signal is provided. Thewaveguide comprises a plurality of control electrodes, an opticalwaveguide core defining a primary axis of propagation, and anelectrooptic cladding at least partially surrounding the core. Thecontrol electrodes are positioned to generate a contoured electric fieldacross the cladding. The cladding is poled along a poling contour.Either the contoured electric field, the poling contour, or both areasymmetric.

[0009] In accordance with yet another embodiment of the presentinvention, an electrooptic waveguide for an optical signal is provided.The waveguide comprises a plurality of control electrodes, anelectrooptic optical waveguide core defining a primary axis ofpropagation, and a cladding at least partially surrounding the core. Thecontrol electrodes are positioned to generate a contoured electric fieldacross the core. The core is poled along a poling contour. Either thecontoured electric field, the poling contour, or both are asymmetric.

[0010] In accordance with yet another embodiment of the presentinvention, a process is provided wherein an electrooptic waveguide isformed by: providing a waveguide substrate; positioning an opticalwaveguide core over a first surface of the substrate; providing awaveguide superstrate; forming at least two control electrodes on afirst surface of the superstrate, wherein the control electrodes defineselected electrode thicknesses; positioning a viscous electroopticcladding material over one or both of the first surface of the substrateand the first surface of the superstrate; and urging the first surfaceof the waveguide substrate and the first surface of the waveguidesuperstrate toward each other to create a layer of cladding materialbetween the surfaces. The cladding material, which is subsequentlycured, defines a cladding material viscosity selected to permitdispersion of the cladding material about the control electrodes and thecore as the first surface of the waveguide substrate and the firstsurface of the waveguide superstrate are urged toward each other. Thecladding material is provided in a quantity sufficient to ensure thatthe layer of cladding material defines a cladding layer thickness atleast as large as the selected electrode thicknesses.

[0011] Accordingly, it is an object of the present invention to provideimproved electrode arrangements for polarization-independent waveguides,improved integrated optical devices incorporating such waveguides, andprocesses for manufacturing such waveguides. Other objects of thepresent invention will be apparent in light of the description of theinvention embodied herein.

BRIEF DESCRIPTION OF THE SEVERAL VIEWS OF THE DRAWINGS

[0012] The following detailed description of the preferred embodimentsof the present invention can be best understood when read in conjunctionwith the following drawings, where like structure is indicated with likereference numerals and in which:

[0013]FIGS. 1 and 2 illustrate optical waveguides according to twodifferent embodiments of the present invention;

[0014]FIGS. 3 through 10 illustrate alternative electrode and waveguidecore configurations according to the present invention;

[0015] FIGS. 11-13 illustrate electrode and waveguide coreconfigurations along a length dimension of an optical waveguideaccording to the present invention;

[0016]FIGS. 14A through 14D illustrate a process for forming a waveguideaccording to the present invention; and

[0017]FIGS. 15 and 16 illustrate variations to the process of FIGS.14A-14D.

DETAILED DESCRIPTION

[0018] Although a number of alternative waveguide configurations arecontemplated by the present invention, many of the general principles ofthe present invention may be described with reference to the waveguideconfigurations of FIGS. 1 and 2. Alternative waveguide configurationsare illustrated schematically in FIGS. 3-10, 12, and 13 and arediscussed in further detail below.

[0019] Referring initially to FIGS. 1 and 2, an electrooptic waveguide10 according to one embodiment of the present invention is illustrated.The waveguide 10 comprises first and second control electrodes 20, 22,an optical waveguide core 30, and a cladding 40 optically coupled to theoptical waveguide core 30. The cladding 40 is delineated into first andsecond lateral cladding regions 42, 44 and a bottom cladding region 46for illustrative purposes. The delineated cladding regions 42, 44, 46and the remaining cladding areas within the cladding 40 may be formed oflike or different materials, depending upon the desired operationalcharacteristics of the cladding 40 and the waveguide 10. A silicasuperstrate 50 and a silicon substrate 60, which are merely partiallyillustrated in FIGS. 1 and 2, typically form the respective top andbottom surfaces of the waveguide 10. The optical waveguide core 30 maycomprise an electrooptic polymer, silica, or doped silica. Similarly,the cladding 40 may comprise an electrooptic polymer, silica, or dopedsilica and may include different materials in different regions thereof.For example, the first and second lateral cladding regions 42, 44 maycomprise an electrooptic polymer while the bottom cladding region 46 maycomprise silica.

[0020] The refractive index of the optical waveguide core 30 is slightlyhigher than that of the surrounding cladding 40. As a result, thewaveguide 10 is well suited for guiding an optical signal. According toone embodiment of the present invention, a doped silica waveguide core30 is envisioned with a refractive index that is 0.7% higher than thesilica bottom cladding region 46. This provides good confinement, yetallows some of the light to propagate in the cladding regions 42, 44,46. If the index difference between the core 30 and cladding 40 isreduced to 0.35%, the optical signal will be more loosely confined andmore of the light will propagate in the cladding 40. For a configurationwith a passive waveguide core 30 and an electrooptic cladding 40, moreefficient electrooptic interaction will occur with the lower indexdifference. It is further noted that index differences between 0.3% and1% are better-suited for construction of waveguides that are notsusceptible to optical losses from slight bends in the waveguide.

[0021] The present invention is particularly advantageous in the contextof guiding non-polarized light, i.e., optical signals including both ahorizontally oriented component TE and a vertically oriented componentTM. Specifically, the optical waveguides described include electrodearrangements and poling configurations that provide for electroopticresponses that are insensitive to the polarization of the optical signalwith or without a driving voltage applied to the electrodes.

[0022] The waveguide 10 of the present invention is configured such thatat least a portion of the cross section 12 of an optical signalpropagating through the waveguide 10 along the longitudinal direction ofthe core 30 lies in an electrooptic material. The electrooptic materialmay be presented as part or all of the cladding 40, as part or all ofthe core 30, or as a combination thereof. For the purposes of describingand defining the present invention it is noted that electroopticmaterials and substantially non-electrooptic materials may bedistinguished based on the relative degree of variation in therefractive index induced in the material upon application of an electricfield in the material. Electrooptic materials and non-electroopticmaterials placed under similar electric fields undergo changes inrefractive indices that are typically different by several orders ofmagnitude. As such, it is contemplated that, even though many materialsutilized in optical waveguides exhibit very small changes in refractiveindex under the influence of an electric field, the difference betweenelectrooptic and non-electrooptic materials will be readily apparent tothose practicing the present invention.

[0023] Preferably, the electrooptic material comprises an electroopticpolymer. In electrooptic polymers, the electrooptic effect arises whenoriginally randomly oriented chromophores with relatively largemolecular hyperpolarizabilities are oriented along a common direction orcontour—a process commonly known as poling. Typically, a polymer ispoled by application of an electric field between two or more electrodesacross the polymer. The polymer may be poled in any direction or alongany contour by utilizing the electric field to align the chromophores inthe poling process. According to the present invention, electroopticpolymers are poled in selected contours to providepolarization-independent behavior. The aggregate of directions in whichthe polymer is poled at each point within it is referred to herein asthe poling contour.

[0024] Suitable electrooptic polymers are presented in U.S. patentapplication Ser. No. 09/777,439, filed Feb. 6, 2001, now U.S. Pat. No.______. The present invention also contemplates the use of any otherelectrooptic materials that can be poled in a contour. For the purposesof defining and describing the present invention, it is noted that acontour generally comprises a curved line but may include straight andcurved portions.

[0025] In FIGS. 1 and 2, the control electrodes 20, 22 are positioned togenerate a contoured electric field across the cladding 40. In FIG. 1,the contoured electric field is illustrated with reference toequipotential lines 28. In FIG. 2, the contoured electric field isillustrated with reference to contour lines 26 and equipotential lines28. The equipotential lines 28 in FIGS. 1 and 2 illustrate the magnitudeand direction of the electric field. The magnitude of the electric fieldis represented by the spacing of the equipotential lines 28, where acloser spacing represents a higher magnitude. The direction of theelectric field in any given point along one of the equipotential lines28 is perpendicular to the tangent of the line at the given point and isillustrated with particularity by the contour lines 26 of FIG. 2.

[0026] The cladding 40 is poled along the contour defined by theelectric field and, as such, the refractive index of the cladding 40varies with position throughout the cladding 40. Accordingly, thecladding 40 defines an array of local TM indices of refraction n_(TM)corresponding to the indices of refraction for the vertically orientedcomponent TM of the optical signal in the cladding 40. The cladding 40also defines an array of local TE indices of refraction n_(TE)corresponding to the indices of refraction for the horizontally orientedcomponent TE of the optical signal in the cladding 40. The local TMindices n_(TM) collectively define the TM mode index of the waveguide 10and the local TE indices n_(TE) collectively define the TE mode index ofthe waveguide 10.

[0027] The local TM indices n_(TM) and the local TE indices n_(TE) areeach a function of a first electrooptic coefficient r_(PP) for lightparallel to a local component of the contoured electric field and asecond electrooptic coefficient r_(1P) for light perpendicular to alocal component of the contoured electric field. Other electroopticcoefficients may also characterize the electrooptic material but r_(PP)and r_(1P) are the two dominant coefficients. The difference between thefirst and second electrooptic coefficients r_(PP) and r_(1P) defines theoptical birefringence of the electrooptic cladding material defining thecladding 40.

[0028] As is noted above, referring to the equipotential lines 28 ofFIGS. 1 and 2, the direction of the electric field at any given pointalong one of the equipotential lines 28 is perpendicular to the tangentof the equipotential line at the given point. Accordingly, the polingcontour of the polymer is also illustrated herein by reference to theequipotential lines 28 of FIGS. 1 and 2 because the direction of theelectric field also defines the direction in which the polymericchromophores are oriented. The contoured electric field and the polingcontour are configured to compensate for the optical birefringence ofthe electrooptic cladding material such that the TM mode index of thewaveguide is substantially equal to the TE mode index of the waveguide.In this manner, the output of the optical waveguide 10 may be controlledindependent of the polarization of the input optical signal. In caseswhere the waveguide 10 is silica-based glass, it will be preferable toselect an electrooptic cladding material having a dielectric constant onthe order of about 3.6, or some other relatively low dielectricconstant, to avoid distortion of the electric field by the electroopticmaterial.

[0029] In the embodiments of FIGS. 1 and 2, the contoured electric fieldand the poling contour are asymmetric relative to an intersecting plane32 normal to the surface of the waveguide core 30 and extending alongthe primary axis of propagation defined by the waveguide core 30.Generally, the contour of the electric field and the poling lines aresuch that (i) the vertical electric field component within the firstlateral cladding region 42 is larger than a vertical electric fieldcomponent in second lateral cladding region 44 and (ii) the horizontalelectric field component within the first lateral cladding region 42 issmaller than the horizontal component in the second lateral claddingregion 44. FIGS. 11-13 illustrate respective primary axes of propagation35 for selected waveguide cores 30.

[0030] Typically, as is the case in the embodiments of FIGS. 1 and 2,the contoured electric field and the poling contour lie along a commoncontour because the same control electrodes 20, 22 are used to pole theelectrooptic material and to drive the waveguide 10. However, it iscontemplated that the poling lines and electric field need not follow acommon contour. It is further contemplated that a suitably contouredelectric field may be employed with an electrooptic material that ispoled in a linear, uniform fashion or that a linear, uniform electricfield may be employed with an electrooptic material poled along asuitable contour.

[0031] The poling voltage is selected to achieve optimum polarization ofthe electrooptic material and varies depending upon the dimensions andproperties of the electrooptic material. The driving voltage, which istypically much less than the poling voltage, is selected to achieve apolarization-independent π phase shift in the optical signal. Typicaldriving electric fields are in the range of about 1 V/μm to about 10V/μm. For convenience of operation, the driving voltage and the polingvoltage may have the same polarity and thus be co-directional. However,according to one embodiment of the present invention, the poling voltageand driving voltage can be opposite in polarity. Specifically, thepoling voltage and the driving voltage applied to the control electrodesmay be poled such that contra-directional electric fields are created inthe cladding.

[0032] Generally, control electrodes utilized according to the presentinvention may be constructed of any suitable conductive orsuperconductive material and may be provided in thicknesses ranging froma few hundred angstroms to about 10 μm. In arranging the controlelectrodes of the present invention, care should be taken to ensureadequate spacing between the electrodes and areas of the device 10carrying an optical signal. Preferably, the control electrodes of thepresent invention should be spaced about 1 μm to about 10 μm from theoptical signal. If the electrodes are placed too close to the opticalsignals, significant optical attenuation will result. Alternatively,optically transparent electrodes such as indium tin oxide (ITO) can beused to produce the electric field. Optically transparent electrodeswill not significantly reduce the optical signal in a nearby waveguideif they are appropriately designed.

[0033] A controller may be coupled to the control electrodes to enableproper control of the voltages applied thereto. The controller is merelyillustrated schematically herein by reference to voltages V₁, V₂, and V₃(see FIGS. 3-10). The controller is preferably programmed to operate thecontrol electrodes at suitable poling and driving voltages but manualcontrol is also contemplated.

[0034] FIGS. 1-10, 12, and 13 of the present application illustrate avariety of control electrode and core configurations suitable forachieving polarization independence according to the present invention.As will be appreciated by those practicing the present invention, theillustrated embodiments are not intended to present an exhaustivedisclosure of all of the possible electrode and core configurationswithin the scope of the present invention. The appended claims alsorelate to a variety of configurations according to the present inventionand the terms and phrases utilized therein take their meaning from thedetailed description of the embodiments of FIGS. 1-10, 12, and 13.Accordingly, we turn now to a detailed description of the configurationsillustrated in FIGS. 1-10, 12, and 13.

[0035] In FIG. 1, the first and second control electrodes 20, 22 arebound by a common edge plane at the interface between the cladding 40and the superstrate 50 but define an asymmetric configuration. For thepurposes of defining and describing the present invention, this commonedge plane will be referred to herein as the common edge plane. Inaddition, the second control electrode 22 defines an electrode thicknessdimension that is substantially less than the corresponding electrodethickness of the thicker remaining control electrode 20. The core 30 ispositioned equidistant between the control electrodes (see FIG. 1). Forthe purposes of describing and defining the present invention, where astructural element defines a substantially uniform shape, like thequadrilaterals illustrated herein, a distance between two elementsrepresents the distance between the closest points of the two elements,as opposed to the distance between the respective centroids of the twoelements. However, where structures define irregular or non-uniformshapes it may be preferable to establish the distance between twoelements as the distance between the centroids of the elements or toapproximate the shapes of the non-uniform elements as uniform shapes.

[0036] In FIG. 2, the arrangement of the control electrodes 20, 22 issimilar to that of FIG. 1 but the core 30 is offset from the common edgeplane in which the electrodes lie. Further, the core 30 is positionedunequal distances from the control electrodes 20, 22, closer to thethinner control electrode 22. The core 30 may be positioned closer tothe thicker control electrode 20 in FIG. 1 or FIG. 2, as long as theresult is a configuration where the TM mode index of the waveguide 10 issubstantially equal to the TE mode index of the waveguide 10. By way ofexample, the following parameters may apply to the arrangement of FIG.2: Poling Voltage: Dielectric Constant Of Electrooptic Cladding: 1500 V(100 V/μm) 2.25 Electrode Dimensions: Refractive Index of Cladding at1550 nm: 9 μm × 10 μm; 1 μm × 10 μm 1.444 Free Space Wavelength:Electrode Separation: 1550 nm 15 μm Refractive Index of Doped SilicaCore: Core Position: 1.4542 3 μm below top surface of electrodes 6.75 μmright of center Core Height and Width: Electrooptic Coefficients: 8 μm ×3 μm r_(PP) = 60 pm/V; r_(1P) = 20 pm/V

[0037] Before moving on to a discussion of the alternativeconfigurations illustrated in FIGS. 3-10, 12 and 13, we turn to adetailed explanation of the manner in which polarization independence isachieved according to the present invention. Initially, we note that theprocess of poling the electrooptic material of the waveguide 10 orientsthe chromophores and locks them in place. As a result, the electroopticmaterial becomes anisotropic because, even without an electric fieldapplied, the refractive index of the electrooptic material will dependon the orientation of the optical polarization. Once a driving voltageis applied to the control electrodes 20, 22 and a driving electric fieldis induced, the refractive indices will change further due to theelectrooptic effect.

[0038] Once the electrooptic polymer is poled, the calculation of theoptical propagation of the waveguide must account for the positionalvariation of the electric field and the refractive index of thewaveguide 10. The calculation must also account for the fact that theevanescent tail of the optical signal falls off exponentially from thewaveguide edge, as is illustrated by the cross section of the opticalsignal 12 in FIGS. 1 and 2. As a result, regions very close to thewaveguide core 30 have more influence on the optical signal thanmaterials a few microns away from the waveguide. Typically, for example,the height and width dimensions of the core 30 will vary from 2 μm to 8μm where a 3×8 μm core having the illustrated orientation is preferred.The dimensions of the core 30 will typically increase as the differencebetween the indices of the core and cladding become smaller.

[0039] The calculation of the optical propagation of the waveguide mustalso take into account the electrooptic coefficient of the electroopticmaterial. Fortunately, although the electrooptic coefficient will alsovary with position when the poling fields are not sufficient tocompletely pole the polymer, it is possible to render the degree ofpoling variation insignificant to the calculation. To do this, polingfields of sufficient magnitude and duration should be used to pole thepolymer as completely as possible near the waveguide core 30. Inpractice, electrooptic coefficients on the order of between about 1 pm/Vand 200 pm/V and electric fields in excess of 100 V/μm are preferred. Itis contemplated that an accurate determination of suitable polingvoltage characteristics for completely poling the electrooptic materialnear the waveguide core 30 will depend upon the dimensions andproperties of the various waveguide components and are best left toexperimental determination.

[0040] The respective TM and TE mode indices may be calculated using asoftware model incorporating: 1) a calculation of the electric fieldcontours within the electrooptic material; 2) a calculation of thebirefringence of the waveguide resulting from the poling process; and 3)a calculation of the electrooptically induced change in refractive indexof the waveguide. The electric field contours in the device arecalculated using a finite element model that incorporates the electrodegeometry and the dielectric constants of the cladding 40 and core 30materials. As will be appreciated by those familiar with finite elementanalysis, the finite element model divides the problem space into afinite number of elements having a selected size, e.g., 0.5 μm by 0.5μm.

[0041] During the poling process, the chromophores within theelectrooptic material are aligned and the refractive index becomespolarization dependent, or birefringent. The amount of localbirefringence at any specific point in the electrooptic material can bedetermined from the strength and direction of the electric field and thematerial properties. Since the electric field forms a contour and variesin both magnitude and direction throughout the electrooptic material, acoordinate transformation should be used to determine the amount oflocal birefringence at any specific point in the electrooptic materialrelative to the horizontal and vertical axes. The details of thecoordinate transformation may be derived from conventional planargeometry. Similarly, the manner in which optical birefringence of amaterial may be calculated from the dominant electrooptic coefficientsof the material and the applied electric field may be determined fromconventional teachings in the area of electrooptic waveguide devices.For common electrooptic polymers, a field of 100 V/μm will induce abirefringence of 0.003. This means that the refractive index of thematerial as seen by light polarized in the direction of the electricfield will be larger than the index seen by light polarizedperpendicular to the electric field by 0.003.

[0042] Once the local birefringence is determined for each element in a0.5 μm by 0.5 μm grid, the overall waveguide birefringence can bedetermined using an optical beam-propagation model. The mode index foreach polarization is treated separately. The difference between the TMand TE mode indices is the waveguide birefringence.

[0043] To calculate the electrooptically-induced change in refractiveindex, the electrooptic material is again divided into finite elementsof constant index. The refractive index is then calculated as a functionof voltage for both TE and TM polarized light and each element may becharacterized by a refractive index associated with the horizontal axis(and thus TE polarization) and a refractive index associated with thevertical axis (and thus TM polarization). This array of refractiveindices is then provided as input to an optical beam propagation modelthat calculates the propagation of an optical signal through this arrayof indices. Finally, a doped-silica waveguide is placed within therefractive index array and the propagation characteristics of thewaveguide are determined using beam propagation modeling software. Thecalculation is carried out twice, once for TM polarized light (with thevertical index array) and once for TE polarized light (with thehorizontal index array).

[0044] Referring now to FIG. 3, a configuration is illustrated whereinthe control electrodes 20, 22 define an asymmetric configuration, lie ina common edge plane, and define substantially equal electrode thicknessdimensions. The core 30 is offset from the common edge plane and ispositioned closer to the second control electrode 22. It is contemplatedthat polarization-independent operation could also be achieved if theelectrodes 20, 22 were symmetric or if the core 30 were placed closer tothe first control electrode 20. Such modifications would oftennecessitate corresponding changes to the configuration of anotherelectrical, optical, or electrooptical element of the waveguide.

[0045] In the embodiment of FIG. 4, first, second, and third electrodes20, 22, 24 are symmetrically arranged in a common edge plane. Each ofthe electrodes define substantially equal thicknesses. The core 30 isoffset from the axis of symmetry of the control electrodes 20, 22, 24and from the common edge plane. In FIG. 5, the thickness of the firstelectrode 20 exceeds that of the remaining two electrodes. In FIG. 6,the second electrode 22 is substantially thinner than the remaining twoelectrodes 22, 24 and the core is positioned closer to the first controlelectrode 20. Possible variations to the arrangements illustrated inFIGS. 4-6 include, but are not limited to: modification of the electrodestructure from symmetric to asymmetric, or from asymmetric to symmetric,modification of the thickness of one or more of the electrodes,elimination of an electrode, repositioning of the core closer to aselected electrode, etc. Of course, such modifications would oftennecessitate corresponding changes to the configuration of anotherelectrical, optical, or electrooptical element of the waveguide.

[0046] In the embodiments of the present invention where two controlelectrodes are utilized, one of the electrodes is at a positive voltageand the other of the control electrodes is at ground or a suitablenegative voltage. The arrangements of FIGS. 4, 5, and 6, and some of theembodiments discussed below, include provision for three controlelectrodes. Each of the three electrodes may be operated at differentvoltages. However, it is more typical to operate two of the electrodesat a common voltage and select a third electrode for operation at ahigher or lower voltage. Specifically, in FIGS. 4-6, the first and thirdelectrodes 20, 24 are typically operated at a relatively high positivevoltage V₁, V₃ while the second electrode 22 is operated at a lowervoltage V₂. In FIGS. 9 and 10, discussed in further detail below, thefirst and second electrodes 20, 22 are typically operated at arelatively high positive voltage V₁, V₂ while the third electrode 24 isoperated at a lower voltage V₂. Of course, it is contemplated that thepolarity of the voltage examples recited with reference to FIGS. 4-6 and9-10 could be reversed to arrive at the same effect.

[0047] The embodiments of FIGS. 7-10 contemplate symmetric or asymmetricelectrode arrangements where the waveguide comprises first and secondcontrol electrodes 20, 22 lying in parallel planes and the core 30 ispositioned between the parallel planes. The embodiments of FIGS. 9 and10 include a third control electrode 24. In each of these embodiments,the first control electrode 20 is limited to extend for a majority ofits width along one side of the core 30 and the second control electrode22 is limited to extend for a majority of its width along the other sideof the core 30. Further, in each case, the core 30 is positioned unequaldistances from the control electrodes 20, 22, 24. As is noted above,possible variations to the arrangements illustrated in FIGS. 7-10include, but are not limited to: modification of the electrode structurefrom symmetric to asymmetric, or from asymmetric to symmetric,modification of the thickness of one or more of the electrodes,elimination of an electrode, repositioning of the core closer to aselected electrode, etc. Of course, such modifications would oftennecessitate corresponding changes to the configuration of anotherelectrical, optical, or electrooptical element of the waveguide.

[0048] Referring now to FIGS. 11-13, respective primary axes ofpropagation 35 and the relative length dimensions of the controlelectrodes along the axes 35 are illustrated. Specifically, referring toFIG. 11, the first and second control electrodes 20 and 22 areillustrated with substantially equal length dimensions that extend forsubstantially the entire length of the waveguide core 30. Similarly, inFIG. 12, the first, second, and third control electrodes 20, 22, 24 eachdefine substantially equal length dimensions that extend forsubstantially the entire length of the waveguide core 30. Alternatively,as is illustrated in FIG. 13, in the case of an electrode configurationincluding three or more electrodes, one of the control electrodes 20,22, 24, e.g., the third control electrode 24, may have a reduced lengthdimension along the primary axis of propagation 35 of the waveguide core30. The reduced length of the third control electrode 24 may be selectedto provide for further compensation for birefringence resulting fromdifferences between the TM and TE mode indices of the waveguide.

[0049] FIGS. 14A-14D illustrate a process for forming an electroopticwaveguide according to the present invention. Referring to FIG. 14A, twocontrol electrodes 20, 22 are provided on a first surface 52 of thewaveguide superstrate 50. The respective thicknesses of one or both ofthe electrodes may be selectively increased by forming the electrodes aspart of a plating process or any other selective formation process (seeFIG. 14B). Similarly, the optical waveguide core 30 is provided over afirst surface 62 of the waveguide substrate 60. Next, a viscouselectrooptic cladding material 40 is provided over the first surface 62of the substrate 60, which may include a cladding region 46. The viscouscladding material 40 may also be provided over the first surface 52 ofthe superstrate 50, or both (see FIG. 14C). Finally, the surfaces 52, 62are urged toward each other to create a structure having a layer ofcladding material interposed between the surfaces 52, 62. Finally, thecladding material 40 is cured, yielding a unitary waveguide structure 10(see FIG. 14D).

[0050] The cladding material 40 defines a cladding material viscosityselected to permit dispersion of the cladding material 40 about thecontrol electrodes 20, 22 and the core 30 as the first surface 62 of thewaveguide substrate 60 and the first surface 52 of the waveguidesuperstrate 50 are urged toward each other. As is illustrated in FIG.14D, the cladding material 40 is provided in a quantity sufficient toensure that the layer of cladding material 40 defines a cladding layerthickness at least as large as the selected electrode thicknesses.

[0051] Variations to the manufacturing scheme illustrated in FIGS.14A-14D are illustrated in FIGS. 12 and 13. Specifically, it is notedthat the control electrodes 20, 22 may be formed over an interveningmaterial 70 that is formed over the superstrate 50. This approach addsadditional flexibility in positioning the control electrodes relative tothe core 30 and each other. Further, this approach can reduce materialcosts if the intervening material is less expensive than the electrodematerial.

[0052] For the purposes of describing and defining the presentinvention, it is noted that the term “substantially” is utilized hereinto represent the inherent degree of uncertainty that may be attributedto any quantitative comparison, value, measurement, or otherrepresentation. The term “substantially” is also utilized herein torepresent the degree by which a quantitative representation may varyfrom a stated reference without resulting in a change in the basicfunction of the subject matter at issue.

[0053] The term “symmetric” is utilized herein to representcorrespondence in size, shape, and relative position of parts onopposite side of a dividing line or median plane. Where a component isidentified as being between two other components or reference planes, itis understood that all or a portion of the component may be between thetwo other components or reference planes.

[0054] Having described the invention in detail and by reference topreferred embodiments thereof, it will be apparent that modificationsand variations are possible without departing from the scope of theinvention defined in the appended claims. More specifically, althoughsome aspects of the present invention are identified herein as preferredor particularly advantageous, it is contemplated that the presentinvention is not necessarily limited to these preferred aspects of theinvention.

What is claimed is:
 1. An electrooptic waveguide for an optical signal,said optical signal including both a horizontally oriented component TEand a vertically oriented component TM, said waveguide comprising aplurality of control electrodes, an optical waveguide core, and acladding optically coupled to said optical waveguide core, wherein: atleast one of said core and said cladding comprises an electroopticmaterial poled along a poling contour; said control electrodes lie in acommon edge plane; said control electrodes lying in said common edgeplane define an asymmetric configuration and are positioned to generatea contoured electric field across said poled electrooptic material; saidpoled electrooptic material defines an array of local TM indices ofrefraction n_(TM) corresponding to the indices of refraction for saidvertically oriented component TM of said optical signal in said poledelectrooptic material; said poled electrooptic material defines an arrayof local TE indices of refraction n_(TE) corresponding to the indices ofrefraction for said horizontally oriented component TE of said opticalsignal in said poled electrooptic material; said local TM indices n_(TM)and said local TE indices n_(TE) are each a function of a firstelectrooptic coefficient r_(PP) for light parallel to a local componentof said contoured electric field and a second electrooptic coefficientr_(1P) for light perpendicular to a local component of said contouredelectric field; a difference between said first and second electroopticcoefficients r_(PP) and r_(1P) defines an optical birefringence of saidpoled electrooptic material; said local TM indices nTM collectivelydefine a TM mode index of said waveguide; said local TE indices n_(TE)collectively define a TE mode index of said waveguide; and saidrespective orientations of said electric field and said poling contourare configured to compensate for said optical birefringence of saidpoled electrooptic material such that said TM mode index of saidwaveguide is substantially equal to said TE mode index of saidwaveguide.
 2. An electrooptic waveguide for an optical signal, saidoptical signal including both a horizontally oriented component TE and avertically oriented component TM, said waveguide comprising a pluralityof control electrodes, an optical waveguide core, and a claddingoptically coupled to said optical waveguide core, wherein: at least oneof said core and said cladding comprises an electrooptic material poledalong a poling contour; one of said control electrodes defines anelectrode thickness dimension substantially less than a correspondingelectrode thickness of a thicker remaining control electrode; saidcontrol electrodes are positioned to generate a contoured electric fieldacross said poled electrooptic material; said poled electroopticmaterial defines an array of local TM indices of refraction n_(TM)corresponding to the indices of refraction for said vertically orientedcomponent TM of said optical signal in said poled electrooptic material;said poled electrooptic material defines an array of local TE indices ofrefraction n_(TE) corresponding to the indices of refraction for saidhorizontally oriented component TE of said optical signal in said poledelectrooptic material; said local TM indices n_(TM) and said local TEindices n_(TE) are each a function of a first electrooptic coefficientr_(PP) for light parallel to a local component of said contouredelectric field and a second electrooptic coefficient r_(1P) for lightperpendicular to a local component of said contoured electric field; adifference between said first and second electrooptic coefficientsr_(PP) and r_(1P) defines an optical birefringence of said poledelectrooptic material; said local TM indices n_(TM) collectively definea TM mode index of said waveguide; said local TE indices n_(TE)collectively define a TE mode index of said waveguide; and saidrespective orientations of said contoured electric field and said polingcontour are configured to compensate for said optical birefringence ofsaid poled electrooptic material such that said TM mode index of saidwaveguide is substantially equal to said TE mode index of saidwaveguide.
 3. An electrooptic waveguide for an optical signal, saidoptical signal including both a horizontally oriented component TE and avertically oriented component TM, said waveguide comprising a pluralityof control electrodes, an optical waveguide core, and a claddingoptically coupled to said optical waveguide core, wherein: at least oneof said core and said cladding comprises an electrooptic material poledalong a poling contour; said control electrodes define a symmetricconfiguration relative to an axis of symmetry and are positioned togenerate a contoured electric field across said poled electroopticmaterial; said optical waveguide core is offset from said axis ofsymmetry; said poled electrooptic material defines an array of local TMindices of refraction n_(TM) corresponding to the indices of refractionfor said vertically oriented component TM of said optical signal in saidpoled electrooptic material; said poled electrooptic material defines anarray of local TE indices of refraction n_(TE) corresponding to theindices of refraction for said horizontally oriented component TE ofsaid optical signal in said poled electrooptic material; said local TMindices n_(TM) and said local TE indices n_(TE) are each a function of afirst electrooptic coefficient r_(PP) for light parallel to a localcomponent of said contoured electric field and a second electroopticcoefficient r_(1P) for light perpendicular to a local component of saidcontoured electric field; a difference between said first and secondelectrooptic coefficients r_(PP) and r_(1P) defines an opticalbirefringence of said poled electrooptic material; said local TM indicesn_(TM) collectively define a TM mode index of said waveguide; said localTE indices n_(TE) collectively define a TE mode index of said waveguide;and said respective orientations of said contoured electric field andsaid poling contour are configured to compensate for said opticalbirefringence of said poled electrooptic material such that said TM modeindex of said waveguide is substantially equal to said TE mode index ofsaid waveguide.
 4. An electrooptic waveguide for an optical signal, saidoptical signal including both a horizontally oriented component TE and avertically oriented component TM, said waveguide comprising a pluralityof control electrodes, an optical waveguide core, and a claddingoptically coupled to said optical waveguide core, wherein: at least oneof said core and said cladding comprises an electrooptic material poledalong a poling contour; at least two of said control electrodes lie in acommon edge plane; said control electrodes define an asymmetricconfiguration and are positioned to generate a contoured electric fieldacross said poled electrooptic material; said optical waveguide core isoffset from said common edge plane; said poled electrooptic materialdefines an array of local TM indices of refraction n_(TM) correspondingto the indices of refraction for said vertically oriented component TMof said optical signal in said poled electrooptic material; said poledelectrooptic material defines an array of local TE indices of refractionn_(TE) corresponding to the indices of refraction for said horizontallyoriented component TE of said optical signal in said poled electroopticmaterial; said local TM indices n_(TM) and said local TE indices n_(TE)are each a function of a first electrooptic coefficient r_(PP) for lightparallel to a local component of said contoured electric field and asecond electrooptic coefficient r_(1P) for light perpendicular to alocal component of said contoured electric field; a difference betweensaid first and second electrooptic coefficients r_(PP) and r_(1P)defines an optical birefringence of said poled electrooptic material;said local TM indices n_(TM) collectively define a TM mode index of saidwaveguide; said local TE indices n_(TE) collectively define a TE modeindex of said waveguide; and said respective orientations of saidcontoured electric field and said poling contour are configured tocompensate for said optical birefringence of said poled electroopticmaterial such that said TM mode index of said waveguide is substantiallyequal to said TE mode index of said waveguide.
 5. An electroopticwaveguide for an optical signal, said optical signal including both ahorizontally oriented component TE and a vertically oriented componentTM, said waveguide consisting of a pair of control electrodes, anoptical waveguide core, and a cladding optically coupled to said opticalwaveguide core, wherein: at least one of said core and said claddingcomprises an electrooptic material poled along a poling contour; saidpair of control electrodes lie in parallel planes; said core ispositioned between said parallel planes; at least one of said pair ofcontrol electrodes is limited to extend for a majority of its widthalong one side of said core in one of said parallel planes; said controlelectrodes define an asymmetric configuration and are positioned togenerate a contoured electric field across said poled electroopticmaterial; said optical waveguide core is offset from said common edgeplane; said poled electrooptic material defines an array of local TMindices of refraction n_(TM) corresponding to the indices of refractionfor said vertically oriented component TM of said optical signal in saidpoled electrooptic material; said poled electrooptic material defines anarray of local TE indices of refraction n_(TE) corresponding to theindices of refraction for said horizontally oriented component TE ofsaid optical signal in said poled electrooptic material; said local TMindices n_(TM) and said local TE indices n_(TE) are each a function of afirst electrooptic coefficient r_(PP) for light parallel to a localcomponent of said contoured electric field and a second electroopticcoefficient r_(1P) for light perpendicular to a local component of saidcontoured electric field; a difference between said first and secondelectrooptic coefficients r_(PP) and r_(1P) defines an opticalbirefringence of said poled electrooptic material; said local TM indicesn_(TM) collectively define a TM mode index of said waveguide; said localTE indices n_(TE) collectively define a TE mode index of said waveguide;and said respective orientations of said contoured electric field andsaid poling contour are configured to compensate for said opticalbirefringence of said poled electrooptic material such that said TM modeindex of said waveguide is substantially equal to said TE mode index ofsaid waveguide.
 6. An electrooptic waveguide for an optical signal, saidoptical signal including both a horizontally oriented component TE and avertically oriented component TM, said waveguide comprising a pluralityof control electrodes, an optical waveguide core, and a claddingoptically coupled to said optical waveguide core, wherein: at least oneof said core and said cladding comprises an electrooptic material poledalong a poling contour; at least two of said control electrodes lie in acommon edge plane; said core is intersected by a linear projectionbetween said two control electrodes in said common edge plane; saidcontrol electrodes are positioned to generate a contoured electric fieldacross said poled electrooptic material; said poled electroopticmaterial defines an array of local TM indices of refraction n_(TM)corresponding to the indices of refraction for said vertically orientedcomponent TM of said optical signal in said poled electrooptic material;said poled electrooptic material defines an array of local TE indices ofrefraction n_(TE) corresponding to the indices of refraction for saidhorizontally oriented component TE of said optical signal in said poledelectrooptic material; said local TM indices nTM and said local TEindices n_(TE) are each a function of a first electrooptic coefficientr_(PP) for light parallel to a local component of said contouredelectric field and a second electrooptic coefficient r_(1P) for lightperpendicular to a local component of said contoured electric field; adifference between said first and second electrooptic coefficientsr_(PP) and r_(1P) defines an optical birefringence of said poledelectrooptic material; said local TM indices n_(TM) collectively definea TM mode index of said waveguide; said local TE indices n_(TE)collectively define a TE mode index of said waveguide; and saidrespective orientations of said contoured electric field and said polingcontour are configured to compensate for said optical birefringence ofsaid poled electrooptic material such that said TM mode index of saidwaveguide is substantially equal to said TE mode index of saidwaveguide.
 7. An electrooptic waveguide for an optical signal, saidoptical signal including both a horizontally oriented component TE and avertically oriented component TM, said waveguide comprising threecontrol electrodes, an optical waveguide core, and a cladding opticallycoupled to said optical waveguide core, wherein: at least one of saidcore and said cladding comprises an electrooptic material poled along apoling contour; said control electrodes are positioned to generate acontoured electric field across said poled electrooptic material; one ofsaid three control electrodes has a reduced length dimension along aprimary axis of propagation of said waveguide core relative to saidfirst and second control electrodes; said poled electrooptic materialdefines an array of local TM indices of refraction n_(TM) correspondingto the indices of refraction for said vertically oriented component TMof said optical signal in said poled electrooptic material; said poledelectrooptic material defines an array of local TE indices of refractionn_(TE) corresponding to the indices of refraction for said horizontallyoriented component TE of said optical signal in said poled electroopticmaterial; said local TM indices n_(TM) and said local TE indices n_(TE)are each a function of a first electrooptic coefficient r_(PP) for lightparallel to a local component of said contoured electric field and asecond electrooptic coefficient r_(1P) for light perpendicular to alocal component of said contoured electric field; a difference betweensaid first and second electrooptic coefficients r_(PP) and r_(1P)defines an optical birefringence of said poled electrooptic material;said local TM indices n_(TM) collectively define a TM mode index of saidwaveguide; said local TE indices n_(TE) collectively define a TE modeindex of said waveguide; said respective orientations of said contouredelectric field and said poling contour are configured to compensate forsaid optical birefringence of said poled electrooptic material such thatsaid TM mode index of said waveguide is substantially equal to said TEmode index of said waveguide; and said reduced length dimension issufficient to contribute to said compensation of said opticalbirefringence of said poled electrooptic material.
 8. An electroopticwaveguide as claimed in claim 1 wherein said cladding defines at leasttwo cladding regions on opposite sides of said waveguide core andwherein said contoured electric field comprises: a vertical electricfield component within a first one of said pair cladding regions that islarger than a vertical component in a second one of said claddingregions; and a horizontal electric field component within said firstcladding region that is smaller than a horizontal component in saidsecond cladding region.
 9. An electrooptic waveguide as claimed in claim1 wherein: said waveguide further comprises a controller coupled to saidcontrol electrodes; said controller is programmed to operate saidcontrol electrodes at a poling voltage and a driving voltage; and saidpoling voltage and said driving voltage are poled such thatcontra-directional electric fields are created in said cladding byapplication of said poling voltage and said driving voltage.
 10. Anelectrooptic waveguide as claimed in claim 1 wherein said opticalwaveguide core comprises an electrooptic polymer.
 11. An electroopticwaveguide as claimed in claim 1 wherein said cladding comprises anelectrooptic polymer.
 12. An electrooptic waveguide as claimed in claim1 wherein: one of said control electrodes defines an electrode thicknessdimension substantially less than a corresponding electrode thickness ofa thicker remaining control electrode; and said core is positionedequidistant between said control electrodes.
 13. An electroopticwaveguide as claimed in claim 1 wherein: one of said control electrodesdefines an electrode thickness dimension substantially less than acorresponding electrode thickness of a thicker remaining controlelectrode; and said core is positioned unequal distances from saidcontrol electrodes.
 14. An electrooptic waveguide as claimed in claim 13said core is positioned unequal distances from said thinner controlelectrode and said thicker control electrode, closer to said thinnercontrol electrode.
 15. An electrooptic waveguide as claimed in claim 13said core is positioned unequal distances from said thinner controlelectrode and said thicker control electrode, closer to said thickercontrol electrode.
 16. An electrooptic waveguide as claimed in claim 4wherein: said control electrodes define substantially equal electrodethickness dimensions; and said core is positioned unequal distances fromsaid control electrodes.
 17. An electrooptic waveguide as claimed inclaim 3 wherein: three of said control electrodes define substantiallyequal thickness dimensions and lie in a common edge plane; and said axisof symmetry of said control electrodes is perpendicular to said commonedge plane.
 18. An electrooptic waveguide as claimed in claim 3 wherein:three of said control electrodes define substantially equal thicknessdimensions and lie in a common edge plane; and one of said controlelectrodes in said common edge plane defines an electrode thicknessdimension substantially less than a thickness of a thicker remainingcontrol electrode in said common edge plane.
 19. An electroopticwaveguide as claimed in claim 4 wherein: one of said control electrodesdefines an electrode thickness dimension substantially greater than acorresponding electrode thickness of a thinner remaining controlelectrode; and said core is positioned unequal distances from saidcontrol electrodes.
 20. An electrooptic waveguide as claimed in claim 19wherein said core is positioned unequal distances from said thinnercontrol electrode and said thicker control electrode, closer to saidthinner control electrode.
 21. An electrooptic waveguide as claimed inclaim 19 wherein said core is positioned unequal distances from saidthinner control electrode and said thicker control electrode, closer tosaid thicker control electrode.
 22. An electrooptic waveguide as claimedin claim 4 wherein: said waveguide comprises a set of three controlelectrodes lying in said common edge plane; one of said controlelectrodes in said common edge plane defines an electrode thicknessdimension substantially greater than a corresponding electrode thicknessof two thinner remaining control electrodes; and said core is positionedunequal distances from said two thinner remaining control electrodes.23. An electrooptic waveguide as claimed in claim 4 wherein saidwaveguide further comprises two control electrodes lying in parallelplanes and said core is positioned between said parallel planes, unequaldistances from said control electrodes in said parallel planes.
 24. Anelectrooptic waveguide as claimed in claim 23 wherein one of saidcontrol electrodes lying in said parallel planes defines an electrodethickness greater that a thinner remaining control electrode.
 25. Anelectrooptic waveguide as claimed in claim 5 wherein one of said controlelectrodes defines an electrode thickness greater that a thinnerremaining control electrode.
 26. An electrooptic waveguide as claimed inclaim 5 wherein: one of said control electrodes is limited to extend fora majority of its width along one side of said core in one of saidparallel planes; and another of said control electrodes is limited toextend for a majority of its width along another side of said core inanother of said parallel planes.
 27. An electrooptic waveguide asclaimed in claim 26 wherein said core is positioned unequal distancesfrom said control electrodes.
 28. An electrooptic waveguide as claimedin claim 26 wherein one of said control electrodes lying in saidparallel planes defines an electrode thickness greater than a thinnerremaining control electrode.
 29. An electrooptic waveguide as claimed inclaim 4 wherein a third control electrode lies in a plane parallel tosaid common edge plane.
 30. An electrooptic waveguide as claimed inclaim 29 wherein said core lies between said common edge plane and saidparallel plane.
 31. An electrooptic waveguide as claimed in claim 29wherein one of said control electrodes lying in said common edge planedefines an electrode thickness greater than a thinner remaining controlelectrode lying in said common edge plane.
 32. An electrooptic waveguideas claimed in claim 31 wherein: said thinner remaining electrode andsaid electrode lying in said parallel plane are positioned on a commonside of said core; and said thicker electrode is positioned on anopposite side of said core.
 33. An electrooptic waveguide as claimed inclaim 3 wherein said waveguide comprises three control electrodesdefining a symmetric configuration and said core is offset from an axisof symmetry of said control electrodes.
 34. An electrooptic waveguide asclaimed in claim 3 wherein said waveguide comprises at least two controlelectrodes lying in a common edge plane and said core is offset fromsaid common edge plane.
 35. An electrooptic waveguide as claimed inclaim 34 wherein said control electrodes are separated by about 15 μm.36. An electrooptic waveguide as claimed in claim 34 wherein saidcontrol electrodes are separated by at least about 5 μm.
 37. Anelectrooptic waveguide as claimed in claim 2 wherein said controlelectrodes define a symmetric configuration.
 38. An electroopticwaveguide as claimed in claim 2 wherein said control electrodes definean asymmetric configuration.
 39. An electrooptic waveguide as claimed inclaim 1 wherein said core is positioned unequal distances from at leasttwo of said control electrodes.
 40. An electrooptic waveguide as claimedin claim 39 wherein said core is positioned unequal distances from atleast three of said control electrodes.
 41. An electrooptic waveguide asclaimed in claim 1 wherein: said control electrodes define an asymmetricconfiguration; and said control electrodes define substantially equalthicknesses and said core is positioned unequal distances from saidcontrol electrodes.
 42. An electrooptic waveguide as claimed in claim 4wherein said core is positioned unequal distances from said controlelectrodes in said common edge plane.
 43. An electrooptic waveguide asclaimed in claim 42 wherein said control electrodes define substantiallyequal electrode thickness dimensions.
 44. An electrooptic waveguide asclaimed in claim 1 wherein one of said control electrodes defines anelectrode thickness dimension substantially less than a correspondingelectrode thickness of a thicker remaining control electrode.
 45. Anelectrooptic waveguide as claimed in claim 1 wherein: said waveguidecomprises three control electrodes lying in a common edge plane suchthat a middle control electrode of said three control electrodes liesbetween two peripheral control electrodes of said three controlelectrodes along said common edge plane; said core is positioned unequaldistances from said two peripheral control electrodes.
 46. Anelectrooptic waveguide as claimed in claim 3 wherein: said waveguidecomprises three control electrodes lying in a common edge plane suchthat a middle control electrode of said three control electrodes liesbetween two peripheral control electrodes of said three controlelectrodes along said common edge plane; said core is positioned unequaldistances from said two peripheral control electrodes.
 47. Anelectrooptic waveguide as claimed in claim 1 wherein: said waveguidecomprises a set of three control electrodes lying in a common edge planeand said core is offset from said common edge plane; two of said controlelectrodes define an electrode thickness dimension substantially greaterthan a corresponding electrode thickness of a thinner remaining controlelectrode; and said core is positioned unequal distances from saidrespective thicker control electrodes.
 48. An electrooptic waveguide asclaimed in claim 3 wherein: said waveguide comprises a set of threecontrol electrodes lying in a common edge plane and said core is offsetfrom said common edge plane; two of said control electrodes define anelectrode thickness dimension substantially greater than a correspondingelectrode thickness of a thinner remaining control electrode; and saidcore is positioned unequal distances from said respective thickercontrol electrodes.
 49. An electrooptic waveguide as claimed in claim 1wherein: said control electrodes comprise three control electrodes; oneof said three control electrodes has a reduced length dimension along aprimary axis of propagation of said waveguide core relative to saidfirst and second control electrodes; and said reduced length dimensionis sufficient to contribute to said compensation of said opticalbirefringence of said poled electrooptic material.
 50. An electroopticwaveguide as claimed in claim 1 wherein: a third control electrode liesin a plane parallel to said common edge plane; said core lies betweensaid common edge plane and said parallel plane; one of said controlelectrodes lying in said common edge plane defines an electrodethickness greater than a thinner remaining control electrode lying insaid common edge plane; said thinner remaining electrode and saidelectrode lying in said parallel plane are positioned on a common sideof said core; and said thicker electrode is positioned on an oppositeside of said core.
 51. An electrooptic waveguide as claimed in claim 1wherein: a third control electrode lies in a plane parallel to saidcommon edge plane; said core lies between said common edge plane andsaid parallel plane; and said core is positioned unequal distances fromsaid two control electrodes lying in said common edge plane.
 52. Anelectrooptic waveguide as claimed in claim 3 wherein: a third controlelectrode lies in a plane parallel to said common edge plane; said corelies between said common edge plane and said parallel plane; and saidcore is positioned unequal distances from said two control electrodeslying in said common edge plane.
 53. An electrooptic waveguide asclaimed in claim 1 wherein: a third control electrode lies in a planeparallel to said common edge plane; said core lies between said commonedge plane and said parallel plane; and said third electrode extends toone side of said core for a majority of its width along said parallelplane.
 54. An electrooptic waveguide as claimed in claim 1 wherein saidelectrooptic waveguide is incorporated in an integrated optical devicecomprising an optical input and an optical output in opticalcommunication with said electrooptic waveguide.
 55. An electroopticwaveguide as claimed in claim 2 wherein said electrooptic waveguide isincorporated in an integrated optical device comprising an optical inputand an optical output in optical communication with said electroopticwaveguide.
 56. An electrooptic waveguide as claimed in claim 3 whereinsaid electrooptic waveguide is incorporated in an integrated opticaldevice comprising an optical input and an optical output in opticalcommunication with said electrooptic waveguide.
 57. An electroopticwaveguide as claimed in claim 4 wherein said electrooptic waveguide isincorporated in an integrated optical device comprising an optical inputand an optical output in optical communication with said electroopticwaveguide.
 58. An electrooptic waveguide as claimed in claim 5 whereinsaid electrooptic waveguide is incorporated in an integrated opticaldevice comprising an optical input and an optical output in opticalcommunication with said electrooptic waveguide.
 59. An electroopticwaveguide as claimed in claim 6 wherein said electrooptic waveguide isincorporated in an integrated optical device comprising an optical inputand an optical output in optical communication with said electroopticwaveguide.